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Tensor product representation of qubit and its transform under linear-operator action |
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| Authors: | Peter Adam Vladimir A Andreev Jozsef Janszky Margarita A Man’ko Olga V Man’ko and Vladimir I Man’ko |
| Institution: | (1) Research Institute for Solid State Physics and Optics, Hungarian Academy of Sciences, P.O. Box 49, H-1525 Budapest, Hungary;(2) P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, 119991 Moscow, Russia |
| Abstract: | The general one-particle spin states are considered. It is shown that information contained in a spin-1/2 state can be recorded in an equivalent form with the help of three mixed completely decoherent qubit states. The density matrix of such a system has the form of the tensor product of three diagonal matrices. The linear operator defined in the space of one-particle spin states generates some transform of the tensor products of the diagonal matrices. We construct this transform in the explicit form. |
| Keywords: | density matrix spin state quantum computer quantum tomography entangled states information |
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